# The postulate or theorem that can be used to prove each pair of triangles congruent.Given:The given figure is:

The postulate or theorem that can be used to prove each pair of triangles congruent.
Given:
The given figure is:

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Calculation:
If the 2 angles and the non-included side of one triangle is congruent to the 2 angles and non-included side of another triangle, then the two triangles are congruent.
Label the diagram given:

Angle A is congruent to angle C and angle BDA is congruent to angle CDA.
According to the reflexive property of congruence, line BD is congruent to BD.
Therefore,
$\mathrm{△}BDA\stackrel{\sim }{=}\mathrm{△}BDC$ (AAA Congruence Theorem).